165117457 has 2 divisors, whose sum is σ = 165117458. Its totient is φ = 165117456.

The previous prime is 165117427. The next prime is 165117487. The reversal of 165117457 is 754711561.

It is a happy number.

It is a balanced prime because it is at equal distance from previous prime (165117427) and next prime (165117487).

It can be written as a sum of positive squares in only one way, i.e., 158986881 + 6130576 = 12609^2 + 2476^2 .

It is an emirp because it is prime and its reverse (754711561) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 165117457 - 2²³ = 156728849 is a prime.

It is a super-2 number, since 2×165117457² = 54527549212293698, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (165117427) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 82558728 + 82558729.

It is an arithmetic number, because the mean of its divisors is an integer number (82558729).

Almost surely, 2^165117457 is an apocalyptic number.

It is an amenable number.

165117457 is a deficient number, since it is larger than the sum of its proper divisors (1).

165117457 is an equidigital number, since it uses as much as digits as its factorization.

165117457 is an evil number, because the sum of its binary digits is even.

The product of its digits is 29400, while the sum is 37.

The square root of 165117457 is about 12849.8037728208. The cubic root of 165117457 is about 548.6107716305.

The spelling of 165117457 in words is "one hundred sixty-five million, one hundred seventeen thousand, four hundred fifty-seven".